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	<title>Math Martin Gugat</title>
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	<title>Math Martin Gugat</title>
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		<title>Network design and control: Shape and topology optimization for the turnpike property for the wave equation</title>
		<link>https://dcn.nat.fau.eu/network-design-and-control-shape-and-topology-optimization-for-the-turnpike-property-for-the-wave-equation/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Tue, 17 Mar 2026 17:13:40 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Jan Sokolowski]]></category>
		<category><![CDATA[Math Martin Gugat]]></category>
		<category><![CDATA[Math Meizhi Qian]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=32521</guid>

					<description><![CDATA[Network design and control: Shape and topology optimization for the turnpike property for the wave equation &#160; 1 Introduction We consider two optimal control problems. The first problem, denoted by , is an optimal control problem governed by an evolution equation. The second problem, denoted by , is the optimal control problem for the associated [&#8230;]]]></description>
		
		
		
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		<title>Limits of the stabilization of a networked hyperbolic system with a circle</title>
		<link>https://dcn.nat.fau.eu/limits-of-the-stabilization-of-a-networked-hyperbolic-system-with-a-circle/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Fri, 03 Nov 2023 17:27:54 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Martin Gugat]]></category>
		<category><![CDATA[Math Xu Huang]]></category>
		<category><![CDATA[News]]></category>
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					<description><![CDATA[Limits of the stabilization of a networked hyperbolic system with a circle 1 Introduction In this post, we discuss the exponential stability of a networked hyperbolic system with a circle. In many applications, the graphs of these networks contain cycles, such as pipeline networks for gas transportation (see, for example, [1]). In [[2], Page 197], [&#8230;]]]></description>
		
		
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		<title>pyGasControls library (simulation software)</title>
		<link>https://dcn.nat.fau.eu/pygascontrols-library-simulation-software/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Mon, 03 Jan 2022 21:00:06 +0000</pubDate>
				<category><![CDATA[EZuazua]]></category>
		<category><![CDATA[Hub]]></category>
		<category><![CDATA[Hub Aleksey Sikstel]]></category>
		<category><![CDATA[Hub Enrique Zuazua]]></category>
		<category><![CDATA[Hub Martin Gugat]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Aleksey Sikstel]]></category>
		<category><![CDATA[Math Enrique Zuazua]]></category>
		<category><![CDATA[Math Martin Gugat]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=14355</guid>

					<description><![CDATA[Author: Martin Gugat, Enrique Zuazua, Aleksey Sikstel, FAU DCN-AvH Code:   [HINT] To run the software on your computer, you may have to install additional standard software packages (like cmake and a c++ compiler) and additional libraries (lapack, PETSc). &#160; In order to optimize the operation of gas transportation networks, as a first step a [&#8230;]]]></description>
		
		
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		<title>pyGasControls Framework</title>
		<link>https://dcn.nat.fau.eu/pygascontrols-framework/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Thu, 17 Dec 2020 11:04:21 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Aleksey Sikstel]]></category>
		<category><![CDATA[Math Martin Gugat]]></category>
		<guid isPermaLink="false">https://dcn.nat.fau.eu/?p=2121</guid>

					<description><![CDATA[pyGasControls Framework By Martin Gugat, Enrique Zuazua, Aleksey Sikstel In order to optimize the operation of gas transportation networks, as a first step a powerful simulation software is mandatory. The flow model from continuum mechanics leads to a nonlinear hyperbolic system of balance laws for each pipe. For the dynamics of the system, the friction [&#8230;]]]></description>
		
		
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		<title>Gas networks uncertainty and Probust constraints: model, distribution and optimization</title>
		<link>https://dcn.nat.fau.eu/gas-networks-uncertainty-and-probust-constraints-model-distribution-and-optimization/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Mon, 23 Nov 2020 19:11:01 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Martin Gugat]]></category>
		<guid isPermaLink="false">https://caa-avh.webspace.rrze.fau.de/?p=489</guid>

					<description><![CDATA[Gas networks uncertainty and Probust constraints: model, distribution and optimization By Martin Gugat Gas transport and distribution systems are usually operating under complex pipelines network topologies which make possible gas flow over interconnected stations -nodes- and branches under a variety of conditions, especially large-scale gas infrastructures. As many applications contain different types of uncertainties (i.e. [&#8230;]]]></description>
		
		
		
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		<title>Convexity and Starshapedness of feasible sets in Stationary Flow Networks</title>
		<link>https://dcn.nat.fau.eu/convexity-and-starshapedness-of-feasible-sets-in-stationary-flow-networks/</link>
		
		<dc:creator><![CDATA[darlis.dcn]]></dc:creator>
		<pubDate>Thu, 11 Jun 2020 12:18:09 +0000</pubDate>
				<category><![CDATA[Math]]></category>
		<category><![CDATA[Math Martin Gugat]]></category>
		<category><![CDATA[Math Michael Schuster]]></category>
		<guid isPermaLink="false">https://caa-avh.webspace.rrze.fau.de/?p=391</guid>

					<description><![CDATA[Convexity and Starshapedness of feasible sets in Stationary Flow Networks &#160; This research was funded by DFG in the SFB Transregio 154: Mathematical modelling, simulation and optimization using the example of gas networks. &#160; Uncertainty often plays an important role in application driven modeling. This often leads to optimization problems with probabilistic constraint. The main [&#8230;]]]></description>
		
		
		
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